Robin van Haastrecht

activity

20202026

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4 papers · 1 filter

math.RT2026

Commutativity of invariant differential operators on vector bundles on Hermitian symmetric spaces

Robin van Haastrecht, Genkai Zhang, Yufeng Zhao

Let $G / K$ be a Hermitian symmetric space and $V_{τ}$ an irreducible representation of $K$ . We study the ring $D^{G} (G / K, V_{τ})$ of $G$ -invariant differential operators on secti…

math.RT2026

On the degenerate principal series of $G_{2 (2)}$ induced from a Heisenberg parabolic subgroup

Jan Frahm, Robin van Haastrecht, Clemens Weiske +1

We study degenerate principal series representations of the split real group $G_{2 (2)}$ induced from a character of a maximal parabolic subgroup whose unipotent radical is a Heisen…

math.RT2025

Wehrl inequalities for matrix coefficients of holomorphic discrete series

Robin van Haastrecht, Genkai Zhang

We prove Wehrl-type $L^{2} (G) - L^{p} (G)$ inequalities for matrix coefficients of vector-valued holomorphic discrete series of $G$ , for even integers $p = 2 n$ . The optimal constant is ex…

math.RT2020

Gelfand Pairs of Complex Reflection Groups

Robin van Haastrecht

In this article the zonal spherical functions of the Gelfand pair $(G (r, d, n), S_{n})$ of complex reflection groups will be calculated. After this, a product formula for these spheric…

Commutativity of invariant differential operators on vector bundles on Hermitian symmetric spaces

On the degenerate principal series of G2(2)​ induced from a Heisenberg parabolic subgroup

Wehrl inequalities for matrix coefficients of holomorphic discrete series

Gelfand Pairs of Complex Reflection Groups

On the degenerate principal series of $G_{2 (2)}$ induced from a Heisenberg parabolic subgroup